Host vector dynamics of pine wilt disease model with convex incidence rate

2018 ◽  
Vol 113 ◽  
pp. 31-39 ◽  
Author(s):  
Ghaus ur Rahman ◽  
Kamal Shah ◽  
Fazal Haq ◽  
Naveed Ahmad
2019 ◽  
Vol 356 (7) ◽  
pp. 3991-4025 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Qaisar Badshah ◽  
Ghaus ur Rahman ◽  
Saeed Islam

2020 ◽  
Vol 08 (12) ◽  
pp. 2943-2953
Author(s):  
Quanben Sun ◽  
Wugui Chen ◽  
Zhicai Guo ◽  
Weiwei Ji ◽  
Jianping Wang

2016 ◽  
Vol 10 (1) ◽  
pp. 506-524 ◽  
Author(s):  
Aziz Ullah Awan ◽  
Muhammad Ozair ◽  
Qamar Din ◽  
Takasar Hussain

2018 ◽  
Vol 11 (03) ◽  
pp. 1850035 ◽  
Author(s):  
Muhammad Altaf Khan ◽  
Kamil Shah ◽  
Yasir Khan ◽  
Saeed Islam

The present paper investigates the dynamics of pine wilt disease with saturated incidence rate. The proposed model is stable both locally and globally. The local stability of the disease-free equilibrium is determined by the basic reproduction [Formula: see text]. The disease-free equilibrium is stable locally and globally whenever [Formula: see text]. If [Formula: see text], then the endemic state is stable both locally and globally. Further, a brief discussion with conclusion on the numerical results of the proposed model is presented.


Author(s):  
Muhammad Ozair ◽  
Takasar Hussain ◽  
Xiangyun Shi ◽  
Fatima Tasneem ◽  
J. F. Gómez-Aguilar

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Muhammad Ozair ◽  
Takasar Hussain ◽  
Aziz Ullah Awan ◽  
Adnan Aslam ◽  
Riaz Ahmad Khan ◽  
...  

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Muhammad Altaf Khan ◽  
Saif Ullah ◽  
K. O. Okosun ◽  
Kamil Shah

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